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Finding the Third Proportional to 124,641 and 193,364

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Solution

The third proportional to 124,641 and 193,364 is: 299,978.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,641 : 193,364 = 193,364 : x
  2. Step 2: Convert to fraction form
    124,641/193,364 = 193,364/x
  3. Step 3: Cross multiply
    124,641x = 193,364 × 193,364
  4. Step 4: Simplify right side
    124,641x = 37,389,636,496
  5. Step 5: Solve for x
    x = 37,389,636,496/124,641
  6. Step 6: Final answer
    x = 299,978.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.